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arXiv · 1309.3801

Primitive vectors in induced supermodules for general linear supergroups

Frantisek Marko
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Abstract

The purpose of the paper is to derive formulas that describe the structure of the induced supermodule H^0_G(\la) for the general linear supergroup G=GL(m|n) over an algebraically closed field K of characteristic p\neq 2. Using these formulas we determine primitive G_{ev}=GL(m)\times GL(n)-vectors in H^0_G(λ). We conclude with remarks related to the linkage principle in positive characteristic.

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Frantisek Marko. 2014-04-17. Primitive vectors in induced supermodules for general linear supergroups. https://arxiv.org/abs/1309.3801

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